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Finding the Third Proportional to 450,972 and 939,252

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Solution

The third proportional to 450,972 and 939,252 is: 1,956,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,972 : 939,252 = 939,252 : x
  2. Step 2: Convert to fraction form
    450,972/939,252 = 939,252/x
  3. Step 3: Cross multiply
    450,972x = 939,252 × 939,252
  4. Step 4: Simplify right side
    450,972x = 882,194,319,504
  5. Step 5: Solve for x
    x = 882,194,319,504/450,972
  6. Step 6: Final answer
    x = 1,956,206.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.